An International Journal of Optimization and Control: Theories & Applications (Jan 2024)
Controllability of nonlinear fractional integrodifferential systems involving multiple delays in control
Abstract
This work studies the existence of solutions and approximate controllability of fractional integrodifferential systems with Riemann-Liouville derivatives and with multiple delays in control. We establish suitable assumptions to prove the existence of solutions. Controllability of the system is shown by assuming a range condition on control operators and Lipschitz condition on non-linear functions. We use the concepts of strongly continuous semigroup rather than resolvent operators. Finally, an example is give to illustrate the theory.
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